Now that you have mastered how to graph one and two variable linear equations:
It is time now to learn how to graph linear inequalities?
First step: Graph the inequality as if were and equation

Remember that this rectangular coordinate grid is just made up of a bunch of ( x , y ) points.
All the points ON the line work in this part:
Now, we just need to find all the points that work in this part:
Here’s how we find these points:
We just pick a point OFF the line and test it!
The origin, ( 0 , 0 ), is really easy to work with, so let’s try it:

Here’s the deal:
If ( 0 , 0 ) works, then ALL the points
on the same side of the line will work.
Don’t believe me? Let’s try a couple more:
So, our answer is this:
All the ( x , y ) points on the line and in the shaded region work in

EXAMPLE :
Graph 
First, do the line:  We make it a dashed line since there is no =.So, which side do we shade?Let’s try ( 0 , 0 ): 
( 0 , 0 ) doesn’t work! That means nothing on that side will work … So, all the good points must be on the other side!
All the points in theshaded region work in 
EXAMPLE 3:
Graph 
* Remember — to graph this guy use y = mx + b. And we’ll use a dashed line since there is no =.
What side do we shade?The only glitch on this one is that we can’t try ( 0 , 0 ) because it’s ON the line. 
Let’s try ( 1 , 2 ) : 
Yep! It works! So, shade that side:
All the ( x , y ) pointsin the shaded regionwork in 
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